Ansari, Alireza; Derakhshan, Mohammad Hossein On spectral polar fractional Laplacian. (English) Zbl 07700841 Math. Comput. Simul. 206, 636-663 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Ansari} and \textit{M. H. Derakhshan}, Math. Comput. Simul. 206, 636--663 (2023; Zbl 07700841) Full Text: DOI
Jung, Hyungyeong; Moon, Sunghwan Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings. (English) Zbl 1512.35662 Electron. Res. Arch. 30, No. 12, 4436-4446 (2022). MSC: 35R30 35R11 PDFBibTeX XMLCite \textit{H. Jung} and \textit{S. Moon}, Electron. Res. Arch. 30, No. 12, 4436--4446 (2022; Zbl 1512.35662) Full Text: DOI arXiv
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. (English) Zbl 1524.35704 Numer. Math., Theory Methods Appl. 15, No. 4, 1063-1098 (2022). MSC: 35R11 60H15 65M12 65M60 60G22 PDFBibTeX XMLCite \textit{Y. Li} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 1063--1098 (2022; Zbl 1524.35704) Full Text: DOI arXiv
Awad, Emad; Metzler, Ralf Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. (English) Zbl 1506.35259 J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022; Zbl 1506.35259) Full Text: DOI
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional diffusion equation with \(\psi\)-Hilfer derivative. (English) Zbl 1513.35536 Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022). MSC: 35R11 26A33 35A08 35A22 35C15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022; Zbl 1513.35536) Full Text: DOI
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260 Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} et al., Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021; Zbl 1506.35260) Full Text: DOI
Tuan, Nguyen Huy; Thach, Tran Ngoc; Zhou, Yong On a backward problem for two-dimensional time fractional wave equation with discrete random data. (English) Zbl 1444.35156 Evol. Equ. Control Theory 9, No. 2, 561-579 (2020). MSC: 35R11 65M30 35K05 35R30 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Evol. Equ. Control Theory 9, No. 2, 561--579 (2020; Zbl 1444.35156) Full Text: DOI
Tuan, Nguyen Huy; Debbouche, Amar; Ngoc, Tran Bao Existence and regularity of final value problems for time fractional wave equations. (English) Zbl 1442.35528 Comput. Math. Appl. 78, No. 5, 1396-1414 (2019). MSC: 35R11 35A01 35B65 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Comput. Math. Appl. 78, No. 5, 1396--1414 (2019; Zbl 1442.35528) Full Text: DOI
Ferreira, M.; Rodrigues, M. M.; Vieira, N. A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus. (English) Zbl 1429.30041 Complex Anal. Oper. Theory 13, No. 6, 2495-2526 (2019). MSC: 30G35 35R11 PDFBibTeX XMLCite \textit{M. Ferreira} et al., Complex Anal. Oper. Theory 13, No. 6, 2495--2526 (2019; Zbl 1429.30041) Full Text: DOI
Luchko, Yu. Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English) Zbl 1461.35007 Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018). MSC: 35A08 35R11 26A33 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Yu. Luchko}, Theory Probab. Math. Stat. 98, 127--147 (2019; Zbl 1461.35007) Full Text: DOI arXiv
Cai, Min; Li, Changpin Regularity of the solution to Riesz-type fractional differential equation. (English) Zbl 1431.34008 Integral Transforms Spec. Funct. 30, No. 9, 711-742 (2019). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34A12 PDFBibTeX XMLCite \textit{M. Cai} and \textit{C. Li}, Integral Transforms Spec. Funct. 30, No. 9, 711--742 (2019; Zbl 1431.34008) Full Text: DOI
Bazhlekova, Emilia Subordination principle for space-time fractional evolution equations and some applications. (English) Zbl 1411.35269 Integral Transforms Spec. Funct. 30, No. 6, 431-452 (2019). MSC: 35R11 33E12 47D06 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Integral Transforms Spec. Funct. 30, No. 6, 431--452 (2019; Zbl 1411.35269) Full Text: DOI arXiv
Ansari, Alireza Green’s function of two-dimensional time-fractional diffusion equation using addition formula of Wright function. (English) Zbl 1408.26006 Integral Transforms Spec. Funct. 30, No. 4, 301-315 (2019). MSC: 26A33 33E12 65R10 PDFBibTeX XMLCite \textit{A. Ansari}, Integral Transforms Spec. Funct. 30, No. 4, 301--315 (2019; Zbl 1408.26006) Full Text: DOI
Luchko, Yuri On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation. (English) Zbl 1474.35666 Mathematics 5, No. 4, Paper No. 76, 16 p. (2017). MSC: 35R11 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Y. Luchko}, Mathematics 5, No. 4, Paper No. 76, 16 p. (2017; Zbl 1474.35666) Full Text: DOI
Boyadjiev, L.; Luchko, Yu. The neutral-fractional telegraph equation. (English) Zbl 1398.35262 Math. Model. Nat. Phenom. 12, No. 6, 51-67 (2017). MSC: 35R11 35C05 35E05 35L05 45K05 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Yu. Luchko}, Math. Model. Nat. Phenom. 12, No. 6, 51--67 (2017; Zbl 1398.35262) Full Text: DOI
Boyadjiev, Lyubomir; Luchko, Yuri Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. (English) Zbl 1374.35419 Chaos Solitons Fractals 102, 127-134 (2017). MSC: 35R11 35C05 35E05 35L05 35A22 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Y. Luchko}, Chaos Solitons Fractals 102, 127--134 (2017; Zbl 1374.35419) Full Text: DOI